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Finding the Fourth Proportional to 4,492.94, 6,729.02 and 4,337.24

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Solution

The fourth proportional to 4,492.94, 6,729.02 and 4,337.24 is: 6,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.94 : 6,729.02 = 4,337.24 : x
  2. Step 2: Convert to fraction form
    4,492.94/6,729.02 = 4,337.24/x
  3. Step 3: Cross multiply
    4,492.94x = 6,729.02 × 4,337.24
  4. Step 4: Simplify right side
    4,492.94x = 29,185,374.70
  5. Step 5: Solve for x
    x = 29,185,374.70/4,492.94
  6. Step 6: Final answer
    x = 6,495.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.